{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "scipy计算出来的值 21.17270579104895\n",
      "在生成1000个随机数时，其面积大概为:19.94911335029519\n",
      "在生成2000个随机数时，其面积大概为:19.51714436042659\n",
      "在生成5000个随机数时，其面积大概为:20.561723917745198\n",
      "在生成8000个随机数时，其面积大概为:21.06830573313655\n",
      "在生成10000个随机数时，其面积大概为:21.072232723953537\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#16.1\n",
    "\n",
    "import numpy as np\n",
    "import numpy.random as rand\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import integrate\n",
    "def f(x):\n",
    "    return np.exp(x)*np.sin(np.sqrt(x))\n",
    "v,err=integrate.quad(f,0,np.pi)#integrate.quad()求一重积分，err是误差\n",
    "print('scipy计算出来的值',v)\n",
    "pi=np.pi      #将pi进行定义\n",
    "x=np.arange(0,pi,0.0001)\n",
    "y=np.exp(x)*np.sin(np.sqrt(x))       #计算出那条函数的值\n",
    "for i in [1000,2000,5000,8000,10000]:\n",
    "    x1=rand.uniform(0,pi,i)\n",
    "    y1=rand.uniform(0,25,i)          #生成1000个平均分布的随机数\n",
    "    inside=(np.exp(x1)*np.sin(np.sqrt(x1))-y1) > 0      #将所给的点进行分类，选出符合条件的点\n",
    "    outside=np.invert(inside)        #将不属于上面条件的点也给选出来\n",
    "    s=pi*25*inside.sum()/i           #根据符合条件的点数与总点数的关系计算面积\n",
    "    print(\"在生成{}个随机数时，其面积大概为:{}\".format(i,s))         #将面积打印出来\n",
    "#画出最后10000个随机点数的分布示意图\n",
    "plt.plot(x1[inside],y1[inside],'r+')\n",
    "plt.plot(x1[outside],y1[outside],'b+')\n",
    "plt.plot(x,y,'r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "scipy计算出来的值 0.1997356031514789\n",
      "第一部分面积的值 0.17416516976366667\n",
      "第二部分面积的值 0.022811501446722032\n",
      "积分经过蒙特卡洛估计为： 0.1969766712103887\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#16.2\n",
    "\n",
    "'''\n",
    "#由于这个函数的数值有正有负，故将该函数分成两部分，一是大于0时的，另一个是小于0时的\n",
    "'''\n",
    "import numpy as np\n",
    "import numpy.random as rand\n",
    "import matplotlib.pyplot as plt\n",
    "def f(x):\n",
    "    return np.sin(x**2)/(x+2)\n",
    "v1,err1 = integrate.quad(f,1,np.sqrt(np.pi))#integrate.quad()求一重积分，err是误差\n",
    "v2,err1 = integrate.quad(f,np.sqrt(np.pi),2)#integrate.quad()求一重积分，err是误差\n",
    "print('scipy计算出来的值',v1-v2)#生成需积分函数的值点\n",
    "x=np.arange(1,2,0.001)\n",
    "y=np.sin(x**2)/(x+2)\n",
    "\n",
    "#蒙特卡洛方法计算函数值大于0时的面积\n",
    "x1=rand.uniform(1,np.sqrt(np.pi),5000)\n",
    "y1=rand.uniform(0,0.35,5000)\n",
    "inside=((np.sin(x1**2)/(x1+2))-y1)>=0\n",
    "outside=np.invert(inside)\n",
    "s1=(np.sqrt(np.pi)-1)*0.35*inside.sum()/5000\n",
    "print('第一部分面积的值',s1)\n",
    "plt.plot(x1[inside],y1[inside],'b*')\n",
    "plt.plot(x1[outside],y1[outside],'r*')\n",
    "#蒙特卡洛方法计算小于0时的面积\n",
    "x2=rand.uniform(np.sqrt(np.pi),2,800)\n",
    "y2=rand.uniform(-0.2,0,800)\n",
    "inside1=((np.sin(x2**2)/(x2+2))-y2) < 0\n",
    "outside1=np.invert(inside1)\n",
    "s2=(2-np.sqrt(np.pi))*0.2*inside1.sum()/800\n",
    "print('第二部分面积的值',s2)\n",
    "plt.plot(x2[inside1],y2[inside1],'b*')\n",
    "plt.plot(x2[outside1],y2[outside1],'r*')\n",
    "plt.plot(x,y,'b')\n",
    "s=s1+s2     #计算函数积分值\n",
    "print(\"积分经过蒙特卡洛估计为：\",s)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.039\n",
      "0.03\n",
      "该函数的二重积分为： 0.069\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#16.3\n",
    "\n",
    "import numpy as np\n",
    "import numpy.random as rand\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits import mplot3d\n",
    "plt.rc('font',family='SimHei')\n",
    "plt.rc('axes',unicode_minus=False)\n",
    "#生成一些均匀分布的点，用来画函数图\n",
    "x=np.linspace(2,6,1000)\n",
    "y=np.linspace(1,6,1000)\n",
    "X,Y=np.meshgrid(x,y)      #生成x,y的的格点矩阵\n",
    "Z=np.exp(-X-np.sqrt(Y))*np.sin(6*np.sqrt(X)+2*Y)\n",
    "#生成随机数，并进行分类，找出符合条件的点\n",
    "#当函数值大于零时\n",
    "x1=rand.uniform(2,6,2000)\n",
    "y1=rand.uniform(1,6,2000)\n",
    "z1=rand.uniform(0,0.03,2000)\n",
    "inside=(np.exp(-x1-np.sqrt(y1))*np.sin(6*np.sqrt(x1)+2*y1)-z1)>=0\n",
    "s1=4*5*0.03*inside.sum()/2000       #计算该条件小符合条件下的体积\n",
    "print(s1)\n",
    "#当函数值小于零时\n",
    "z2=rand.uniform(-0.05,0,2000)\n",
    "inside1=(np.exp(-x1-np.sqrt(y1))*np.sin(6*np.sqrt(x1)+2*y1)-z2)<=0\n",
    "s2=4*5*0.05*inside1.sum()/2000      #计算符合该条件的体积\n",
    "print(s2)\n",
    "#画图\n",
    "ax=plt.axes(projection='3d')        #为画3d图像的讲解\n",
    "ax.plot3D(x1[inside1],y1[inside1],z2[inside1],'b*')\n",
    "ax.plot3D(x1[inside],y1[inside],z1[inside],'r*')\n",
    "ax.plot_surface(X,Y,Z)\n",
    "ax.set_xlabel('x');ax.set_ylabel('y');ax.set_zlabel('z')\n",
    "ax.set_title('二重积分示意图')\n",
    "s=s1+s2      #计算该函数的二重积分\n",
    "print(\"该函数的二重积分为：\",s)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "粗略计算的椭球面的体积为： 181.8\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#16.4\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import mpl_toolkits as mplot3d\n",
    "import numpy.random as rand\n",
    "#生成x,y,z方向上对应大小的随机数1000个\n",
    "x=rand.uniform(-3,3,1000)\n",
    "y=rand.uniform(-5,5,1000)\n",
    "z=rand.uniform(-2,2,1000)\n",
    "#筛选出符合条件的点，并计算体积\n",
    "inside=(x**2/9+y**2/25+z**2/4)<=1\n",
    "s=inside.sum()/1000*9*10*4\n",
    "#筛选出不符合条件的点\n",
    "outside=np.invert(inside)\n",
    "print(\"粗略计算的椭球面的体积为：\",s)\n",
    "#开始画图\n",
    "plt.rc('font',family='SimHei')\n",
    "plt.rc('axes',unicode_minus=False)\n",
    "ax=plt.axes(projection='3d')\n",
    "ax.scatter(x[inside],y[inside],z[inside],'r')\n",
    "ax.set_xlabel(\"x\")\n",
    "ax.set_ylabel(\"y\")\n",
    "ax.set_zlabel(\"z\")\n",
    "ax.set_title(\"立体图\")\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B方案优于A方案\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOcAAADnCAYAAADl9EEgAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAAASQ0lEQVR4nO3deZQdZZ3G8W/dXrKxBQMEGIZiORAxBgYNDotsDgNaCKhzlMGDHBYFVMYVpnDGEQePFhxGEFzQUURRkcOIAqk5gIiKLGYwBgGBRENKZOlAQpqQNL2kb80fVR06S6dv911+b916Pufc030796ae7vSTt27dqvf10jRFRNxTsQ4gIlumcoo4SuUUcZTKKeIolVPEUSqniKNUThFHqZwijlI5RRylcoo4SuUUcZTKKeIolVPEUSqniKNUThFHqZwijlI5RRylcoo4SuUUcZTKKeIolVPEUSqniKNUThFHqZwijlI5RRylcoo4SuUUcVSndQAZmx/GU4Fd89vsUZ+P3J8NzCD7d+wEOvKnrgeG8o99QA/wPPBcfhv9+YokCoZb8x3JRHhayMgNfhjPBN4EHDzq4z6A1+RNDwNLgEX57XfAw0kUrGvydmUcKqcBP4wrwKHAUbxWRt8y0yaqwJNkRV0E/CaJgsW2kcpH5WwRP4y3BY4H3gm8A5hlm2jCngFuB24D7kmiYNA4T9tTOZvID+M9ycp4Etko2W2bqGFeAe4iK+uCJApWGedpSypng+Uj5GnAOcCbjeO0wjDwa+DbwC1JFAwY52kbKmeD+GF8CHAe8F6yI6hltAr4PnBtEgVLrcMUncpZBz+Mu8jK+C/AIcZxXJICdwJXAXclUaBfsklQOSchf//xI8CnyN5zlLE9AVwO3KD3UydG5ZwAP4w7gDOBzwF/YxynaB4HPpNEwa3WQYpC5ayRH8bvAb4AzLHOUnD3A2ESBfdZB3GdyjkOP4yPBSJgvnWWNrMAuDiJgsesg7hK5RyDH8Z7Ad8gO3FAmqNKdnT303qvdHMq5yb8MPaADwOXUd63RFptBXB+EgU/tQ7iEpVzFD+M9wa+AxxtHKWsbgQ+mkTBS9ZBXKBysmG0/CjwJTRaWusBztNRXZUTP4z3Aa4DjrTOIhv5IXBBEgWrrYNYKXU5/TB+N9kBCY2WbnoO+KckCh60DmKhlOXMd2MvAT5L8y9mlvoMAOcmUfA96yCtVrpy+mE8g2y0fLd1FpmQK4ELy3QKYKnK6YexD9wKzDOOIpNzB3BqEgUvWwdphdKU0w/jo4GbKd4MBLKxJcBJZbgkrRRTY/phfDbwc1TMdrA/sNAP43+wDtJsbV9OP4w/RnaVvqYBbR87AAv8MD7ROkgztXU5/TAOyS74lfYzBbglfzusLbVtOf0w/hzZGT/SvrqAm/wwPtU6SDO05QEhP4wvBr5onUNaZj3ZUdyfWAdppLYrpx/GnwT+yzqHtNwQ8O4kChZYB2mUtiqnH8bnAtda5xAzA8CJSRTcbR2kEdqmnPmMBXeio7Jl9zLwliQKllgHqVdblNMP432BhcCO1lnECUvJCtprHaQehT9a64fxdmTrd6iYMmI/4MZ8tsTCKnQ589W6bgReb51FnHMC2Xy5hVXocpLNivcO6xDirE/6YfwB6xCTVdjXnPkPvXTX+MmEDQBHJVGw0DrIRBWynH4YzwEWA1Ots0ghPA/MLdrEYYXbrc1f5F+Piim12xW4xjrERBWunMCFwFusQ0jhnOaH8SnWISaiULu1fhi/AVhEdkWCyET1AG8oyu5tYUZOP4w7yXZnVUyZrNkUaPe2MOUEQsqxjLs0V2F2bwuxW+uH8TzgIaDbOou0hRVku7dOL55UlJHzWlRMaZxdKMBlhc6PnPk0FG11Ea04oQoclETBo9ZBxuL0yJm/p6kZDaQZKjg+jY3T5QTOIpsKUaQZAj+Mj7AOMRZny+mH8TSy9UxEmuky6wBjcbacwMeB3axDSNs7zA/jk6xDbImTB4T8MN4ReArY3jqLlMJjwIFJFFStg4zm6sh5MSqmtM5c4HTrEJtybuTMpx15BtjWOouUypPAAUkUOFMIF0fOs1ExpfXmAP9oHWI0p8qZzwl0gXUOKa2PWQcYzalyAicCe1mHkNI6wQ/j/axDjHCtnOdbB5BS84BzrUOMcOaAkB/Ge5K9feLafxhSLiuB3ZMoGLQO4lIRzsGtPFJOs4B3WYcAR8rgh7EHnGmdQyT3QesA4Eg5ySbs2t06hEjuGD+MZ1mHcKWcTp7bKKVVAQIXQrjgZOsAIpt4p3UA86O1fhjvA/zZNITI5l4BZlketXVh5NSoKS7aFjjGMoAL5dTrTXGV6a6taTnz6zadnSZCSq+85QTeDhR69WFpa3/rh/GBVhu3LufhxtsXGc9RVhu2LqeWVxDXvclqw2bl9MO4C5hntX2RGpWvnGTztmjFMHHdHD+Mp1ts2LKc2qWVIugADrLYsMopMj6TXVvLcprty4tM0MEWGzUppx/G3cAbLbYtMgmlGjn3QuttSnEckK9411JW5dSF1VIkHWQL7raUVTm1QJEUza6t3qDKKVIblVPEUS3/ndVrTpHaaOQUcZTKKeKo0pSz5YelRepUmnJONdrupAyvW006vN46htia0eoNdtb7F3iedz1wIPAysAI4LU3T4bEen59p4dW73S0Z6u1h9c+vpTrYR/eu+7HtwSdudH/HY8+p6Xk7HnsOaxbdTt8Tv2Hn9/4nry5fzDZzj21GZKnT+jUv0rndTq3YVFetD/Q8b0fgaWBWmqb9k91go0bOC9I0PRpYzfirA9f8TU5U76+uZ/vDTmX2+y9n+JVV9NzwqY3u9z/9SE3P63/6EYZeWM6Muccw2LMUr0uXnTbLyv/9Cj03fJreB3485mOG162m54cXbbi/+t7v88LNl5Cm6Zj/pk0wkYHsOLJrlY+sZ4ON3q2dBawb5zF1j9ZjGVr9LN2z9wGgY/r2eF1TN7pfHeir6XnVgT7SNCUdXs+ryxczbW9dQNMMfUsegLTK7NOvYHjtSwy99OxmjxnuX8vK+ErSoYENX6uu66VrZ5/BFctaNWrCxH5vTwC+ln9syQa35hrP8zrJZsl+sEF/54RN3/9weu+/kSm77c+ryxexzbzjNrq/w1Fn1PS8HY46g3T9IGsfvZvp+76FF39yKdsf+j6m7lmMWVU8qqkH1QrVtEJa9UirFdLUo1od+bpHmlayW/7nVSrZ46oVqnjeyPOraf58OqhWR56XfaymHdnn1QpVOkYe61WpbPj7qyMf8UirHaSMfO2Xyxbs8aZ99355/8p9vY/vWt1haPmPK/N3Onhlx6jHDlT6OryT/y79wU23zflgR/xYhSo/Gli6zzRvyvqZTy0bPOGt856teEvS/DnkOdNKth3ynN5rX8u+XvGyr7/25+mGx+Y/i7RCuuHPh+l4eQLLpxxKNuXrL+r5d2xUOS9I0/Q+z/OuAkLg0q08dszXo/Xa4bBT6X/mj6xZeAsz5r5ts/uV7mk1Pa/SPY0Zrz+Szu13YX3v80zbZz59S+8vTDlTKl4KHdV6dozqWaWjxueu5Le8PPPYnZ6o7s2r20xncMUylg8fs/dGD8qvXVrVuZD/Hg4OA1iz+zADzz7JlFkH8Ovv37fX646/gK5Ze9QRuCZJUsODPM+bR7YH+T+A73neHmma/nUyG2z0bu1qsmnst6aphz27d96b9WteZLv5p2zxfq3PAxh66Vk6d9gVr6ML6zVl2lGleyrpULYUSTrYDzX+jLebfwoz5h6D1zWF6fsdRt+yh5oZc0Sta6YcD3wxPwZzdX5/UhpVzms8z7uf7GDQ18Z5bNNGToA1C29hu/mnUOmausX7gyufZvW9N4z7vOpAHx0zZtL1uj145Q93MG3Pg5oZu5S6Z+9L/zOPAzD4wnI6t9+55udW+9dR6Z6G19EFVJuUcCNDNT7ueOCe/PN7qON1p8kqY34YrwNMZjQTd1QH+uj54UVM3fNAXn1qETudfBHrnryfmUeevtlje34UMvu0CMj2aNL1g3jd03jh5kuYFXyCKbvt3+y4i5MoaOl0JVblfIpsNgQpueH+tfQvX8zUPebSsc1M6zhbc3cSBce1coNWZwg9b7RdcUzH1G2Y8fq3ul5MgM3f52kyq3L2GG1XZLJUThFHlaac2q2VoilNOTVyStE81+oNauQUqU1pRs6Wf6MidRgmuxyypazK+QRNPo1PpIH+mkRBU89s2xKTciZRMAA8brFtkUn4vcVGLVcZM/mGRSahJWfWb8qynIsMty0yEb+z2KhGTpGtSylhOR+mRdf6iNRhWRIFvRYbNitnEgV9wBKr7YvUyOT1JtiOnKDXneI+k11asC/nL423LzKe/7PasHU5Y+qbSkqkmXqB31pt3LScSRSswHCfXmQccRIFZmeyWY+cAAusA4iM4VbLjbtQztutA4hswSBwh2UA83ImUfAwMKlJd0Wa6J4kCl6xDGBezlxsHUBkEz+zDuBKObVrKy5JgdusQ7hSzl8Aq6xDiOQeSqLAfLYOJ8qZX9/5A+scIrnvWQcAR8qZ+7Z1ABGy9WWdGCicKWcSBY9heDaGSO6mJArWWIcAh8qZ+4Z1ACm9b1oHGOFaOW8CXrQOIaW1MIkCsxPdN+VUOfMDQ9+yziGldZV1gNGcKmfu62jaTGm9v5ItFe8M58qZRMFzwPXWOaR0vmp5BcqWOFfO3OeBfusQUho9wNesQ2zKyXImUfAMDv6wpG1dkkTBOusQm3KynLkvAU683yRtbQnwHesQW+JsOZMoWAVcYZ1D2t7Frr3WHOFsOXNfBl6wDiFt64EkCn5qHWIsTpczfx3wBesc0rb+1TrA1jhdztw3gT9bh5C2c1sSBfdZh9ga58uZRMEgcDaaQlMa51XgQusQ43G+nABJFNyL3lqRxvlMEgVLrUOMpxDlzIXAcusQUnj3Al+xDlGLwpQzPzik3VupxzrgzCQKCvE7VJhyAiRR8EvgWuscUlgXJlHwlHWIWhWqnLmLgL9Yh5DCuZuC/cdeuHImUbAWOAstvCu1WwOcVZTd2RGFKydAEgX3AP9mnUMK47wkCgq3qkAhywmQREEE/Ng6hzjvS0kU3GgdYjIKW87cWcDvrUOIs35GgfewvDQt1G74Zvww3oNsafCdrbOIU/4AHO7idZq1KvrISf5a4j3AkHUWccYLwElFLia0QTkB8hOYP2qdQ5wwCLwriYKnrYPUqy3KCZBEwbfQxdkC5yZR8IB1iEZom3ICJFFwIZo1vsw+lUTB9dYhGqWtypn7CI6sEiUtFSZR8GXrEI3UduXMzwI5G/iRdRZpmf9IouAy6xCN1nblBEiiYBg4HU1OXQafSaLgUusQzVD49zm3xg9jj2yakw9aZ5GGS4GPJ1FwtXWQZmnLkXNEvot7LnC5dRZpqCrwoXYuJrT5yDmaH8YfIFvBbIp1FqlLL/DPSRTcYR2k2UpTTgA/jA8FfgrsYp1FJuUJ4OQkCv5kHaQV2nq3dlNJFDwIzAcWW2eRCVsA/H1ZigklKydsOBf3CBxbi1G26otkI2ap1s4p1W7taPmR3M8Bn6WE/0kVxMiEXDdbB7FQ2nKO8MP4COC7wL7WWWQji4Ezkih41DqIldKPGPkVLQcC16BpN10wCPw7cEiZiwkaOTfih/HRwHXAXsZRyuohst3YP1oHcUHpR87Rkij4FTCP7KwiaZ1+shW/DlUxX6ORcwx+GB8HXA3Msc7S5h4km7bySesgrtHIOYYkCn4OzCU7/e954zjt6E/AqWTz/KiYW6CRswZ+GE8HPkE22/x2xnGK7lng88B3XV3u3RUq5wT4YTyL7Eji+UC3cZyiWQVEwFeTKOi3DlMEKuck+GHsk53AcBoq6XjWAlcCV5TtDJ96qZx18MN4F+DDwHlo3txNPUW24PF1SRT0GmcpJJWzAfwwngK8j+zg0WHGcSxVgbuArwNxEgVabKoOKmeD+WH8RuBDwPuBmcZxWuUvZKdAXlfEBYNcpXI2iR/GncCRwMn5bU/bRA33JNllXLcD92mUbDyVs0X8MD6Q14p6sHGcyRgC7iUvZBIFy4zztD2V00C++NLbgUPILv4+AOg0DbW5IeCPZItE3QXcqaOtraVyOsAP42nAQcCbR93m0LozuPqAR8iWU/w92eVajyVRMNii7csWqJyO8sN4Btnr1N2A3Tf5OPL5LLL3WbdW4l6gJ7+tGPX5yO0vwNJ8rl9xiMrZBvwwrpCVtJPs7YzhkVs+PagUkMop4ihdlSLiKJVTxFEqp4ijVE4RR6mcIo5SOUUcpXKKOErlFHGUyiniKJVTxFEqp4ijVE4RR6mcIo5SOUUcpXKKOErlFHGUyiniKJVTxFEqp4ijVE4RR6mcIo5SOUUcpXKKOErlFHGUyiniKJVTxFEqp4ij/h8FdaH2EYcqjAAAAABJRU5ErkJggg==\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#16.5\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy.random as rand\n",
    "k1=0\n",
    "k2=0\n",
    "for j in range(1,1000,1):#进行1000次实现\n",
    "    f = 200 #初始量，前两天平均销售量当做当天的存货量\n",
    "    z = 200 #初始量，前一天的销售量当做今天的进货量\n",
    "    s1=0\n",
    "    s2=0\n",
    "    for i in range(1, 100, 1):\n",
    "        x = rand.normal(200, 20 ** 2, 1)#当天市场的需求量\n",
    "        if x >= f:\n",
    "            s1 = s1 + 2.5 * f\n",
    "        else:\n",
    "            s1 = s1 + 5 * x - 2.5 * f\n",
    "        if x >= z:\n",
    "            s2 = s2 + 2.5 * z\n",
    "        else:\n",
    "            s2 = s2 + 5 * x - 2.5 * z\n",
    "        f = (x + z) / 2\n",
    "        z = x\n",
    "    if s1 > s2:\n",
    "        k1 = k1 + 1\n",
    "    else:\n",
    "        k2 = k2+1\n",
    "q=np.array([k1,k2])\n",
    "labels='B','A'\n",
    "explode=(0.2,0)\n",
    "if k1>k2:print(\"B方案优于A方案\")\n",
    "else:print(\"A方案优于B方案\")\n",
    "plt.pie(q,labels=labels,autopct='%1.1f%%')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "应该购买一台A型机\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#16.6\n",
    "\n",
    "import numpy as np\n",
    "import numpy.random as rand\n",
    "import matplotlib.pyplot as plt\n",
    "#数据初始化\n",
    "A=0;B=0\n",
    "#进行蒙特卡洛模拟，进行循环。这里我们将每个人的工作量定义为10\n",
    "#将机器的工作效率函数定义为正态分布函数\n",
    "#将同时来到的人数定义为均匀分布的随机数\n",
    "for k in range(1,1000):\n",
    "    n=rand.randint(1,6,1);\n",
    "    t1=0;t2=0;t3=0\n",
    "    j=n;i=n\n",
    "    while i>0:\n",
    "        w1=rand.normal(2,2/3,1)\n",
    "        t1=10/w1+t1\n",
    "        i=i-1\n",
    "    while j>0:\n",
    "        w2=rand.normal(1,1/3,1)\n",
    "        w3=rand.normal(1,1/3,1)\n",
    "        if t2==t3:\n",
    "            if j>=2:\n",
    "                t2=t2+10/w2\n",
    "                t3=t3+10/w3\n",
    "                j=j-2\n",
    "            else:\n",
    "                t2=t2+10/w2\n",
    "                j=j-1\n",
    "        if t2<t3:\n",
    "            t2=t2+10/w2\n",
    "            j=j-1\n",
    "        if t3<t2:\n",
    "            t3=t3+10/w3\n",
    "            j=j-1\n",
    "    if t2>=t3:t4=t2\n",
    "    else:t4=t3\n",
    "    if t1<=t4:A=A+1\n",
    "    else:B=B+1\n",
    "if A>B:print('应该购买一台A型机')\n",
    "else:print('应该购买两台B型机')\n",
    "#将所计算出的A，B的优势次数用图像来表示\n",
    "plt.rc('font',family='SimHei')\n",
    "labels='A型号优势次数','B型号优势次数'\n",
    "sizes=[A,B]\n",
    "plt.pie(sizes,labels=labels,autopct='%1.1f%%')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "每天推迟的平均车数： 0.8633700000000001\n"
     ]
    }
   ],
   "source": [
    "#16.7\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy.random as rand\n",
    "#设立函数，使后面可以生成不同概率的随机数\n",
    "def fff(x):\n",
    "    if x>98:\n",
    "        return 5\n",
    "    elif x>93:\n",
    "        return 4\n",
    "    elif x>83:\n",
    "        return 3\n",
    "    elif x>53:\n",
    "        return 2\n",
    "    elif x>23:\n",
    "        return 1\n",
    "    else:\n",
    "        return 0\n",
    "q=0\n",
    "#设立每一次所需要下车数的函数，持续1000天\n",
    "def kkk():\n",
    "    c = 0;d = 0\n",
    "    for i in range(1, 1000, 1):\n",
    "        a = rand.randint(1, 101, 1)\n",
    "        b = fff(a)\n",
    "        c = c + b\n",
    "        if c >= 2:\n",
    "            c = c - 2\n",
    "            d = d + c\n",
    "        else:\n",
    "            c = 0\n",
    "    v = d / 1000\n",
    "    return v\n",
    "#进行100次不同的随机测试，计算平均值\n",
    "for j in range(1,100,1):\n",
    "    q=q+kkk()\n",
    "print(\"每天推迟的平均车数：\",q/100)"
   ],
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    "pycharm": {
     "name": "#%%\n"
    }
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  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  }
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